Great stellapentakis dodecahedron

Template:Short description Template:Uniform polyhedra db File:Great stellapentakis dodecahedron.stl In geometry, the great stellapentakis dodecahedron (or great astropentakis dodecahedron) is a nonconvex isohedral polyhedron. It is the dual of the truncated great icosahedron. It has 60 intersecting triangular faces.

Proportions

The triangles have one angle of $\arccos (-\frac{7}{36}-\frac{1}{4}\sqrt{5})\approx 138.89111468659^{\circ }$ and two of $\arccos (\frac{3}{4}+\frac{1}{12}\sqrt{5})\approx 20.55444265671^{\circ }$. The dihedral angle equals $\arccos (\frac{-80+9\sqrt{5}}{109})\approx 123.32006525847^{\circ }$. Part of each triangle lies within the solid, hence is invisible in solid models.

References

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External links

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• Uniform polyhedra and duals

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